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An (ordinary)

**torus**is a surface having genus one, and therefore possessing a single "hole" (left figure). The single-holed "ring"**torus**is known in older literature as an ...One of the three standard tori given by the parametric equations x = (c+acosv)cosu (1) y = (c+acosv)sinu (2) z = asinv (3) with c>a. This is the

**torus**which is generally ...A sphere with two handles and two holes, i.e., a genus-2

**torus**.The square

**torus**is the quotient of the plane by the integer lattice.One of the three standard tori given by the parametric equations x = (c+acosv)cosu (1) y = (c+acosv)sinu (2) z = asinv (3) with c<a. The exterior surface is called an apple ...

One of the three standard tori given by the parametric equations x = a(1+cosv)cosu (1) y = a(1+cosv)sinu (2) z = asinv, (3) corresponding to the

**torus**with a=c. It has ...A (p,q)-

**torus**knot is obtained by looping a string through the hole of a**torus**p times with q revolutions before joining its ends, where p and q are relatively prime. A ...A ring

**torus**constructed out of a square of side length c can be dissected into two squares of arbitrary side lengths a and b (as long as they are consistent with the size of ...A sphere with three handles (and three holes), i.e., a genus-3

**torus**.A

**torus**with a hole that can eat another**torus**. The transformation is continuous, and so can be achieved by stretching only without tearing or making new holes in the tori....